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DIFFERENTIAL EQUATIONS WITH BOUNDARY-VALUE PROBLEMS, 8th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. to get access to your one-sheeter, Elementary Differential Equations with Boundary Value Problems, Elementary Differential Equations with Boundary Value Problems, 6th Edition, Differential Equations and Mathematical Methods, Integrals as General and Particular Solutions, Introduction: Second-Order Linear Equations, Homogeneous Equations with Constant Coefficients, Nonhomogeneous Equations and Undetermined Coeffcients, Method of Frobenius: The Exceptional Cases, Laplace Transforms and Inverse Transforms, Derivatives, Integrals, and Products of Transforms, Periodic and Piecewise Continuous Input Functions, The Eigenvalue Method for Homogeneous Systems, Second-Order Systems and Mechanical Applications, Ecological Models: Predators and Competitors, Periodic Functions and Trigonometric Series, Heat Conduction and Separation of Variables, Vibrating Strings and the One-Dimensional Wave Equation, Steady-State Temperature and Laplace's Equation, Sturm-Liouville Problems nd Eigenvalue Expansions, Steady Periodic Solutions and Natural Frequencies. 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